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Select the correct answer from the given alternatives. limx→π2(3cosx-1π2-x) = - Mathematics and Statistics

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Question

Select the correct answer from the given alternatives.

`lim_(x -> pi/2) ((3^(cosx) - 1)/(pi/2 - x))` =

Options

  • 1

  • log 3

  • `3^(pi/2)`

  • 3 log 3

MCQ

Solution

`lim_(x -> pi/2) ((3^(cosx) - 1)/(pi/2 - x))` = log 3

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Limits of Exponential and Logarithmic Functions
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Chapter 7: Limits - Miscellaneous Exercise 7.1 [Page 158]

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